1. (01.02) Given that f(x) = 4x – 3 and g(x) 2x-1, solve for g(f(2)). (5 points)

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

Step-by-step explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9

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Explain how you could find the measurements of an enlargement if you know the ratio of the measurements of the original to the m

lord [1]

Answer:

showing bellow

Step-by-step explanation:

Let me use an exsample to show this.

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?

6 inches by 10 inches

Step-by-step explanation:

It tells us that the scale is 2 In: 1 cm so we know that for every centimeter long or wide the stamp is the enlardged scale is two inches.

2 times 3 is 6. 6 inches. we are multiplying two inches by the number of centimeter long it is.

5 times 2 is 10 inches. we are multiplying two inches by the number of centimeter wide it is.

therefore the enlarged stamp is 6 In by 10 In.

Hope this helps :)

4 0

2 years ago

The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?

sweet-ann [11.9K]

Answer:

m=3

Step-by-step explanation:

Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, $y=16-\frac{x}{3}$ . The slope or $m=-\frac{1}{3}$ . This means the slope of the other line will be the negative reciprocal which is -(-3)=3